Answer:
y = (3/4)x - 5
Step-by-step explanation:
See the attached worksheet.
Find an equation in the form of y=mx+b, where m is the slope and b is the y-intercept.
Pick any 2 points and find the slope, or Rise/Run, of the line. Let's use the two points marked on the graph. The Rise is 3 and the Run is 4, which makes the slope, m, (3/4).
The y-intercept, b, can either be calculated by using one of the points and solving for b, or in this case, it is easy to see that the line intersects the y axis at - 5.
We have both m (slope) and b (y-intercept), so the line is:
y = (3/4)x - 5
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Note: to find b by entering any point that is known to be on the line:
y = (3/4)x + b
Use point (4,-2)
-2 = (3/4)*(4) + b
-2 = 3 - b
b = - 5
